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Finding the Fourth Proportional to 655,121,948,163.06, 982,682,922,244.56 and 655,121,948,163.06

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Solution

The fourth proportional to 655,121,948,163.06, 982,682,922,244.56 and 655,121,948,163.06 is: 982,682,922,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,948,163.06 : 982,682,922,244.56 = 655,121,948,163.06 : x
  2. Step 2: Convert to fraction form
    655,121,948,163.06/982,682,922,244.56 = 655,121,948,163.06/x
  3. Step 3: Cross multiply
    655,121,948,163.06x = 982,682,922,244.56 × 655,121,948,163.06
  4. Step 4: Simplify right side
    655,121,948,163.06x = 643,777,150,447,425,018,658,816
  5. Step 5: Solve for x
    x = 643,777,150,447,425,018,658,816/655,121,948,163.06
  6. Step 6: Final answer
    x = 982,682,922,244.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.